Search a number
-
+
970769340 = 223353157991
BaseRepresentation
bin111001110111001…
…100001110111100
32111122200012012000
4321313030032330
53442004104330
6240154542300
733025255212
oct7167141674
92448605160
10970769340
11458a79412
12231137990
13126174438
1492cdccb2
155a35a560
hex39dcc3bc

970769340 has 96 divisors (see below), whose sum is σ = 3117649920. Its totient is φ = 250516800.

The previous prime is 970769329. The next prime is 970769347. The reversal of 970769340 is 43967079.

It is a super-2 number, since 2×9707693402 = 1884786222968071200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970769347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12256 + ... + 45735.

It is an arithmetic number, because the mean of its divisors is an integer number (32475520).

Almost surely, 2970769340 is an apocalyptic number.

970769340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

970769340 is an abundant number, since it is smaller than the sum of its proper divisors (2146880580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

970769340 is a wasteful number, since it uses less digits than its factorization.

970769340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58040 (or 58032 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 970769340 is about 31157.1715661098. The cubic root of 970769340 is about 990.1599374293.

The spelling of 970769340 in words is "nine hundred seventy million, seven hundred sixty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 16740 57991 115982 173973 231964 289955 347946 521919 579910 695892 869865 1043838 1159820 1565757 1739730 1797721 2087676 2609595 3131514 3479460 3595442 5219190 5393163 6263028 7190884 7828785 8988605 10438380 10786326 15657570 16179489 17977210 21572652 26965815 31315140 32358978 35954420 48538467 53931630 64717956 80897445 97076934 107863260 161794890 194153868 242692335 323589780 485384670 970769340